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Infrastructures 2017, 2(4), 23; https://doi.org/10.3390/infrastructures2040023

Framework for Flexural Rigidity Estimation in Euler-Bernoulli Beams Using Deformation Influence Lines

Civil and Environmental Engineering Department, Bobby B. Lyle School of Engineering, Southern Methodist University, Dallas, TX 75275, USA
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Received: 12 October 2017 / Revised: 14 December 2017 / Accepted: 14 December 2017 / Published: 19 December 2017
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Abstract

Structural degradation is an inevitable part of a structure’s service life. Detecting structural impairments and assessing their nature is a significant challenge. Degradations reduce structural system stiffness and subsequently affect system deformations. An appropriate structural health index that is able to capture these changes in deformation and relate them to a structural system stiffness may help engineers to adequately rate structural condition. This paper outlines a theoretical framework for the utilization of static deformation influence lines for estimating the flexural rigidity of Euler-Bernoulli beams. In the proposed technique, the relationship between the second derivative of the deformation influence line and the flexural rigidity for both statically determinate and indeterminate beam structures is presented. The proposed method provides a flexural rigidity estimate (FRE) over the entire span that is based on a single measurement location and estimates both the location and severity of impairments, regardless of the location of the measurement or the damaged zones. Noisy analytical simulations are presented with noise levels of 0%, 0.5%, 1%, 2%, 3%, and 4%; in all cases the modeled damage is quantified and localized using the FRE. A laboratory experiment is also presented that validates the theoretical framework. View Full-Text
Keywords: structural health monitoring; influence lines; beam damage detection; system identification structural health monitoring; influence lines; beam damage detection; system identification
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Zeinali, Y.; Story, B.A. Framework for Flexural Rigidity Estimation in Euler-Bernoulli Beams Using Deformation Influence Lines. Infrastructures 2017, 2, 23.

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